Phase and frequency stabilization of a pump laser to a Raman active resonator

In this paper, we describe how to phase and frequency stabilize a continuous wave (CW) Raman laser. We model and measure the transfer function of a high-finesse cavity filled with a Raman active gas. In addition, we model the time dependence of the temperature-induced oscillations inherent to the CW Raman laser. The results set the minimum feedback-loop bandwidth at about 100 kHz to adequately suppress the temperature-induced oscillations. The required bandwidth is an order of magnitude larger than the empty resonator case.